To find: whether it is possible to draw an obtuse isosceles triangle and obtuse equilateral triangle with proper explanation.
Answer to Problem 43E
The obtuse isosceles triangle exists and obtuse equilateral triangle does not exist.
Explanation of Solution
Given:
Obtuse isosceles triangle and obtuse equilateral.
Concept used:
Sum of the three interior angles of triangle is always
Obtuse triangles are those triangles which has one angle obtuse greater than
Equilateral triangle must have angle of
Calculation:
Obtuse isosceles triangle exists.
Example:
If one angle of triangle is greater than
Every equilateral triangle has all three angles with measure
Hence,obtuse isosceles triangle exists and obtuse equilateral triangle does not exist.
Chapter 12 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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